Non-linear convection due to compositional and thermal buoyancy in Earth's outer core
作者: A. Benerji BabuB. ShankerS.G. Tagare
作者单位: 1Department of Mathematics, National Institute of Technology Warangal, Warangal 5060 04, AP, India
2Department of Mathematics, Osmania University, Hyderabad 5000 07, India
3Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Raipur 492101, India
刊名: International Journal of Non-Linear Mechanics, 2011, Vol.46 (7), pp.919-930
来源数据库: Elsevier Journal
DOI: 10.1016/j.ijnonlinmec.2011.04.002
关键词: Earth's outer coreConvectionCompositional buoyancyThermal buoyancyBifurcation pointsLandau–Ginzburg type equationsNusselt numberStability regions of standing and travelling wavesEckhausZigzag and Benjamin–Feir instabilities
原始语种摘要: Abstract(#br)The linear stability of convection due to compositional and thermal buoyancy in Earth's outer core has been investigated. We have obtained the values of Takens–Bogdanov bifurcation points by plotting graphs of neutral curves corresponding to stationary and oscillatory convection for different values of physical parameters. We have derived a non-linear two-dimensional Landau–Ginzburg equation with real coefficients near the onset of stationary convection at a supercritical pitchfork bifurcation and two non-linear one-dimensional coupled Landau–Ginzburg type equations with complex coefficients near the onset of oscillatory convection at a supercritical Hopf bifurcation. We have studied Nusselt number contribution from a Landau–Ginzburg equation at the onset of stationary...
全文获取路径: Elsevier  (合作)
影响因子:1.345 (2012)